'Advanced Network Analysis / Pajek: Large ... - Vladimir Batagelj

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V. Batagelj: Analysis and visulization of large networks with Pajek 45 ✬ ✫ Important vertices in network It seems that the most important distinction between different vertex indices is based on the view/decision whether the network is considered directed or undirected. This gives us two main types of indices: • directed case: measures of importance; with two subgroups: measures of influence, based on out-going arcs; and measures of support, based on incoming arcs; • undirected case: measures of centrality, based on all lines. For undirected networks all three types of measures coincide. If we change the direction of all arcs (replace the relation with its inverse relation) the measure of influence becomes a measure of support, and vice versa. Methodenforum der Fakultät für Sozialwissenschaften, Universität Wien, 21-22. 6. 2007 ▲ ❙ ▲ ▲ ● ❙ ▲ ▲ ☛ ✖ ▲ ✩ ✪
V. Batagelj: Analysis and visulization of large networks with Pajek 46 ✬ ✫ . . . Important vertices in network The real meaning of measure of importance depends on the relation described by a network. For example the most ’important’ person for the relation ’ doesn’t like to work with ’ is in fact the least popular person. Removal of an important vertex from a network produces a substantial change in structure/functioning of the network. Methodenforum der Fakultät für Sozialwissenschaften, Universität Wien, 21-22. 6. 2007 ▲ ❙ ▲ ▲ ● ❙ ▲ ▲ ☛ ✖ ▲ ✩ ✪
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'Advanced Network Analysis / Pajek: Large ... - Vladimir Batagelj

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